The domain of the function is x is a set of positive integers.
We are given the function; f(x) = 126/x. f(x) is the number of days it would take to complete a project and x is the number of workers
The domain is defined as the set of all possible input values for which the function is defined.
Let's try x = 0 workers.
f(x) = 126/0 ; this is undefined and so x cannot be zero.
Let's try x = 1 worker
f(x) = 126/1 = 126 days
Let's try x = 10 workers
f(x) = 126/10 = 12.6 days
Let's try x = 100 workers
f(x) = 126/100 = 1.26 days
We see that every positive integer is a possible value of x that can make the function defined. Thus, the domain of the function is x is a set of all positive integers.
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